document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=856006>Question 856006</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Fine the maximum and minimum value of the objective function z = x+5y subject to the constraints: \r<BR>\n" );
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document.write( "x+4y less than or equal to 12<BR>\n" );
document.write( "x+y greater than equal to 2<BR>\n" );
document.write( "x less than equal to 8<BR>\n" );
document.write( "x greater equal to 0<BR>\n" );
document.write( "y greater than equal to 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #515720 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=515720\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-2%2C10%2C-4%2C8%2Cgrid%281%29%2C%0D%0Acircle%288%2C0%2C0.25%29%2C%0D%0Acircle%288%2C1%2C0.25%29%2C%0D%0Acircle%280%2C3%2C0.25%29%2C%0D%0Acircle%280%2C2%2C0.25%29%2C%0D%0Acircle%282%2C0%2C0.25%29%2C%0D%0Ared%28line%288%2C0%2C8%2C10%29%29%2Cgraph%28300%2C300%2C-2%2C10%2C-4%2C8%2C%2812-x%29%2F4%2C2-x%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Find the points of intersection that bound the region.<BR>\n" );
document.write( "(8,0)<BR>\n" );
document.write( "(8,1)<BR>\n" );
document.write( "(0,3)<BR>\n" );
document.write( "(0,2)<BR>\n" );
document.write( "(2,0)<BR>\n" );
document.write( "The solutions occur at one of these points.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=x%2B5y=8%2B5%280%29=8 ALIGN=MIDDLE  ALT=\"z=x%2B5y=8%2B5%280%29=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=8%2B5%281%29=13 ALIGN=MIDDLE  ALT=\"z=8%2B5%281%29=13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=0%2B5%283%29=15 ALIGN=MIDDLE  ALT=\"z=0%2B5%283%29=15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=0%2B5%282%29=10 ALIGN=MIDDLE  ALT=\"z=0%2B5%282%29=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=2%2B5%280%29=2 ALIGN=MIDDLE  ALT=\"z=2%2B5%280%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".\r<BR>\n" );
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document.write( "Maximum occurs at (0,3) and equals 15.<BR>\n" );
document.write( "Minimum occurs at (2,0) and equals 2.<BR>\n" );
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